60408180 has 180 divisors, whose sum is σ = 220731588. Its totient is φ = 13789440.

The previous prime is 60408169. The next prime is 60408193. The reversal of 60408180 is 8180406.

60408180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 53406864 = 2646^2 + 7308^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79000 + ... + 79760.

Almost surely, 2^60408180 is an apocalyptic number.

60408180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60408180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110365794).

60408180 is an abundant number, since it is smaller than the sum of its proper divisors (160323408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60408180 is a wasteful number, since it uses less digits than its factorization.

60408180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 60408180 is about 7772.2699386987. The cubic root of 60408180 is about 392.3725200294.

Adding to 60408180 its reverse (8180406), we get a palindrome (68588586).

The spelling of 60408180 in words is "sixty million, four hundred eight thousand, one hundred eighty".